The area of the given triangle ABC is 61.8 Square units.
What is the area of a triangle?The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.
Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)
Hence,
area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)
Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8
Therefore, the area drawn by the given triangle ABC is 61.8 square units.
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The area of the triangle is A = 61.8 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , length of side AC is 10 and the length of CB is 13.
Angle BAC is 64° and angle ACB is 72°
Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )
A = 1/2 ( 10 ) ( 13 ) sin 72°
A = 61.8 units²
Hence , the area is A = 61.8 units²
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What is the hypotenuse from
the following Pythagorean
triple?
25 in., 15 in., 20 in.
Answer:
25 in
Step-by-step explanation:
Hypotenuse is the longest side in the right angle triangle. It is proven by the fact that the square of hypotenus is the sum of the squares of the two other sides.
The hypotenuse of the Pythagorean triple 25 in, 15 in, 20 in is 25 in
The Pythagoras theorem is used to find the sides of a right angle triangle. The formula below is used to find the sides of a right angle triangle(Pythagoras's theorem) is represented below
c² = a² + b²where
c = hypotenuse
a and b are either opposite or adjacent sides
A right angle triangle is a triangle that has one of its angles as 90°.
A right angle triangle has the following sides :
HypotenuseOpposite sideAdjacent sideThe longest side of a right angle triangle is the hypotenuse. Base on the Pythagorean triple, the hypotenuse is 25 inches because its the longest side.
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4.
Given: D is the midpoint of BC
<1 = <2
Prove: ABAC is isosceles
E
ת
2.
B.
One week, Eva earned $126.00 at her job when she worked for 6 hours. If she is paid the same hourly wage, how much would she make the next week if she worked 22 hours?
Answer:
Step-by-step explanation:
$120 ÷ 10 hours = $20 per hour wage
Next week when she works 22 hours:
hourly wage * hours worked = earnings
$20 * 22 = ?
Answer:
462
Step-by-step explanation:
Which only lists multiples of 18?
BRH
1, 2, 3, 4, 6, 9, 18
1, 2, 3, 6, 9, 18
18, 27, 36, 45
18, 36, 54, 72
Answer:
the last one 18,36,54,72
What are the possible values of x?
2 possible values :)
Answer:
x = 3, x = 11
Step-by-step explanation:
Since PR is an angle bisector then it divides the opposite side into segments which are proportional to the other 2 sides, that is
[tex]\frac{PQ}{PS}[/tex] = [tex]\frac{QR}{SR}[/tex] , substitute values
[tex]\frac{x+1}{16}[/tex] = [tex]\frac{x-2}{x+1}[/tex] ( cross- multiply )
(x + 1)(x + 1) = 16(x - 2) ← expand left side using FOIL
x² + 2x + 1 = 16x - 32 ( subtract 16x - 32 from both sides )
x² - 14x + 33 = 0 ← in standard form
(x - 3)(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 11 = 0 ⇒ x = 11
Please answer I will give a good review:)
Answer:
18
Step-by-step explanation:
(8+6x6)= 44
44/11=4
7x2=14
14+4=18
hope this helped
Answer:
18
Step-by-step explanation:
Hey Please help i’m taking a test . i will mark you brainlist. thanks
Answer:
x=56
Step-by-step explanation:
72+89+99+3x+2x=540
what is the median of the following set of data?
Answer:
9.3
Step-by-step explanation:
Put them in order:
4.7
5.6
6.2
7.4
7.9
8.4
10.2
10.6
11.2
13.1
15.4
15.5
Find the middle number:
Since there are 12 numbers, you will have 2 middle numbers which will be the 6th and 7th number: 8.4 and 10.2
Add them together:
8.4 + 10.2 = 18.6
18.6/2 = 9.3
whats mc mean in mc2
Answer:
the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Step-by-step explanation:
Mai biked 6 and 3/4 miles today, and Noah biked 4 and 1/2 miles. How many times the length of Noah's bike ride was Mai's bike ride?
Answer:
yes
Step-by-step explanation:
next guestion why does math even exist!!!!
Answer:
B.
Step-by-step explanation:
I know this because I asked my Math teacher.
Which of the g-values satisfy the following inequality?
7 2 12-g
Choose all answers that apply:
g=4
B
g= 5
9= 6
the segment JK is bisected, find the length of JK.
Answer:
JK=80
Step-by-step explanation:
7x+ 5= 8x
5= 8x-7x
5=x
x=5
8×5=40
40×2=80
Hope this helps!
Please mark me brainliest if possible. :)
Write
71/25
as a decimal.
Answer:
Step-by-step explanation:
71/25=2.84
Hope this helps x
Answer:
2.84
Step-by-step explanation:
71 ÷ 25 = 2.84
Really easy just not for me
Answer: 1 time
5 x 1 = 5
Answer:
1 time
Step-by-step explanation:
5×1=2 sjsjjwsjhfjekkebhskdjsjzkdbjshs
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use the information given to correctly complete the sentence.
A scientist observes that a zebra ran 54 yards in 135 seconds.
The zebra ran at a rate of
feet per minute.
Answer:
135 seconds = 54 yards
1sec = 54/135 yards
60 sec = 54/135 * 60
1 minute = 24 yards
hope it helps you jamie
Please please help ASAP, question is order from largest at the top and smallest at the bottom:
1. 10hm
2. 100cm
3. .001mm
4. .01km
Answer:
2. 1. 3. 4.
Step-by-step explanation:
hope this help >.<
Find the slope and y-intercept of the graph of the equation.
y= 2x + 7
Let u = , v = . Find 4u - 3v. (2 points)
Answer:
4,-3.. that is the answer for the question
Answer:
what is u and v?
Step-by-step explanation:
Find the limit, if it exists.
Lim (2x^3+x^2+7)
X->2
Answer:
27
Step-by-step explanation:
In this case, because we have a polynomial where all x-values exist, we can plug the value (x=2) straight into the function:
[tex]\lim_{x \to \ 2} (2x^3+x^2+7)[/tex]
[tex]= 2(2)^3+(2)^2+7[/tex]
[tex]= 2(8)+4+7[/tex]
[tex]= 27[/tex]
The limit of (2x^3+x^2+7) as x approaches 2 equals 27, which makes sense since the value of (2x^3+x^2+7) at x = 2 is 27.
Answer:
Looking Ahead to Calculus: Lessons 1-5 Quick Check Answers
Lesson 1
Q1 B. -21
Q2 D. 4
Q3 D. 4 (yes, again)
Q4 B. lim f(x) = 5 [x→3+] ;
D. lim f(x) = 6 [x→3-] ;
F. lim f(x) [x→3] does not exist...
Lesson 2
Q1 A. lim x = a [x→a] ;
B. lim a = a [x→a];
D. lim x = 5 [x→5]
Q2 D. 16
Q3 B. 10a
Q4 D. 3
Lesson 3
Q1 A. -1
Q2 D. 1
Q3 B. It is discontinuous because there is a value a for which f(a) is not defined.
Q4 D. It is discontinuous because there is a value a such that lim f(x) [x→a] does not exist.
Lesson 4
Q1 D. 3
Q2 A. -13
Q3 C. y = -2x + 6
Q4 C. f'(a) = 8a + 2
Lesson 5
Q1 C. 2
Q2 D. v(t) = 8t - 2
Q3 B. 902 mi./min.
Q4 A. The car is slowing down at a rate of 10 mi./h^2.
Have a great summer
Which graph represents solutions of the equation y = x + 2?
A
B
C
Answer:
Which ever graph has points in a line going down by 1,1 and has a y-intercept of 2
Step-by-step explanation:
That's the best answer I can give without a photo :(
(hope this helps!)
Answer:
Step-by-step explanation: Graf the line useing the slope and y-intercept, or two points.
Slop 1: 1
y-intercept:(0,2)
x y
----------------
-2 0
2 2
2. What is the fraction of the following decimal? (simplify) * 10 points 0.8 8 4 100 25 A B 4
Answer:
Its a
Step-by-step explanation:
i did this brainly pls
Under his cell phone plan, Ayden pays a flat cost of $49.50 per month and $4 per gigabyte. He wants to keep his bill at $56.30 per month. Which equation could be used to determine g g, the number of gigabytes of data Ayden can use while staying within his budget?
Answer:
49.5+4g=56.3
Step-by-step explanation:
Im doing it on DelatMath
Oxygen has a boiling point of -183 and a melting point of -219 What is the temperature difference of the melting point and the boiling point?
Answer:
Difference = 36
Step-by-step explanation:
Given that,
The boiling point of Oxygen = -183
The melting point of Oxygen = -219
We need to find the temperature difference of the melting point and the boiling point.
Difference = boiling point - melting point
= -183-(-219)
= -183+219
= 36
Hence, the required temperature difference is 36.
Mathematics
Solving inequality
Answer:
x _> 9 I dont have the symbol on my phone so I just put the greater than sign there
Step-by-step explanation:
1. Subtract 3 from both sides
5x > 48 - 3
2. simplofy 48 - 3 to 45
5x > 45
3. Divide both sides by 5
x > 45/5
4. Then simplify 45/5 to 9 which gives us the answer
And again I dont have the sign thats why I used the greater than sign
I need help in math,PLEASE Help!!!. -50=10s
Answer:
s= -5
Step-by-step explanation:
-50=10s
divide both by 10
-5=s
Solve the system of linear equations. show your work. - 3x + 5y = 13 x + 4y = -10
Answer:
16x-y=0
Step-by-step explanation:
2y + 2x + 3y + 4z + 5x
Marie purchased a $50.00 gift for a baby shower. She uses a coupon that offers 20% off. How much will Marie spend on the gift after the coupon?
Answer:
40
Step-by-step explanation:
so first we need to figure out how many money did she save
50*20% = 10 dollars
so she saved 10 dollars
then 50-10=40
so she paid 40 dollars
pls help with this question
Answer:
2.01, 2, 2.1, 5, 7, 2.001, 3, 10
Step-by-step explanation:
That is a less greater than or equal to symbol, therefore the answer is any number that is 2, or greater than 2
